Symmetric dual continuous fractional programming

Symmetric and selfduality results for nonlinear continuous fractional programming problems involving differentiable functions are established. These results generalize a variety of known results in continuous programming and give a dynamic analogue of (static) symmetry and selfduality results of non-linear fractional programming recently explored. Further it is also remarked that these duality results can be analogously extended to nondifferentiable continuous fractional programming problems containing arbitrary norms in the integrands of objective functional.